Results 241 to 250 of about 455,820 (253)

Almost second order parameter-uniform convergent alternate overlapping Schwarz method for singularly perturbed convection-diffusion problems

Ricerche di Matematica, 2022
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S. Chandra Sekhara Rao, Varsha Srivastava   +1 more
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Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems

International Journal of Computer Mathematics, 2021
In this paper, we present an optimal fourth-order parameter-uniform non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion boundary value problems exhibiting boun...
S. Sumit, S. Kumar, M. Kumar
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HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID

International Journal of Computational Methods, 2012
In this article, a singularly perturbed reaction-diffusion problem with Robin boundary conditions, is considered. In general, the solution of this problem possesses boundary layers at both the ends of the domain. To solve this problem, we propose a numerical scheme, involving the cubic spline scheme for boundary conditions and the classical central ...
Das, Pratibhamoy, Natesan, Srinivasan
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On the Parameter-Uniform Convergence of Exponential Spline Interpolation in the Presence of a Boundary Layer

Computational Mathematics and Mathematical Physics, 2018
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Blatov, I. A., Zadorin, A. I., Kitaeva, E. V.   +2 more
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Upwind Based Parameter Uniform Convergence Analysis for Two Parametric Parabolic Convection Diffusion Problems by Moving Mesh Methods

PAMM, 2015
AbstractA parabolic two parametric convection‐diffusion reaction problem is considered for the moving mesh error analysis. The continuous problem is discretized by the first order upwind scheme on a non uniform mesh. A curvature based error monitor function is proposed to generate the layer adapted mesh.
Pratibhamoy Das, Volker Mehrmann
openaire   +1 more source

Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction–diffusion equations with boundary and interior layers

Journal of Computational and Applied Mathematics, 2019
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Rao, S. Chandra Sekhara, Chawla, Sheetal
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A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction–diffusion type with initial and Robin boundary conditions

International Journal of Biomathematics, 2019
In this paper, a class of linear parabolic systems of singularly perturbed second-order differential equations of reaction–diffusion type with initial and Robin boundary conditions is considered. The components of the solution [Formula: see text] of this system are smooth, whereas the components of [Formula: see text] exhibit parabolic boundary layers.
R. Ishwariya, J. J. H. Miller, S. Valarmathi   +2 more
openaire   +1 more source

A Parameter-Uniform First Order Convergent Numerical Method for a System of Singularly Perturbed Second Order Delay Differential Equations

2015
In this paper, a boundary value problem for a system of two singularly perturbed second order delay differential equations is considered on the interval [0, 2]. The components of the solution of this system exhibit boundary layers at x = 0 and x = 2 and interior layers at x = 1.
Manikandan Mariappan, John J. H. Miller, Valarmathi Sigamani   +2 more
openaire   +1 more source

A Parameter-Uniform First Order Convergent Numerical Method for a Semi-linear System of Singularly Perturbed Second Order Delay Differential Equations

2016
In this paper, a boundary value problem for a semi-linear system of two singularly perturbed second order delay differential equations is considered on the interval (0, 2). The components of the solution of this system exhibit boundary layers at \(x=0\) and \(x=2\) and interior layers at \(x=1\).
Mariappan Manikandan, John J. H. Miller, Valarmathi Sigamani   +2 more
openaire   +1 more source

A Parameter-Uniform Essentially First Order Convergent Fitted Mesh Method for a Singularly Perturbed Robin Problem

International Journal of Mathematics Trends and Technology, 2018
Janet Rajaiah, Valarmathi Sigamani
openaire   +1 more source